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A man on a boat is located at point B on the waters, 200 meters from point A on the shoreline. Line segment AB is perpendicular to the shoreline. He can swim at the rate of 3 m/s and walks along the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 400 meters from point A. How far from point A must the man lands (end of his swim), then walks along the shoreline to his destination, so that the total time of swimming and walking is minimum?

A man on a boat is located at point B on the waters, 200 meters from point A on the shoreline. Line segment AB is perpendicular to the shoreline. He can swim at the rate of 3 m/s and walks along the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 400 meters from point A. How far from point A must the man lands (end of his swim), then walks along the shoreline to his destination, so that the total time of swimming and walking is minimum?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A man on a boat is located at point B on the waters, 200 meters from point A on the shoreline. Line segment AB is perpendicular to the shoreline. He can swim at the rate of 3 m/s and walks along the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 400 meters from point A. How far from point A must the man lands (end of his swim), then walks along the shoreline to his destination, so that the total time of swimming and walking is minimum?
Transcribed Image Text:A man on a boat is located at point B on the waters, 200 meters from point A on the shoreline. Line segment AB is perpendicular to the shoreline. He can swim at the rate of 3 m/s and walks along the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 400 meters from point A. How far from point A must the man lands (end of his swim), then walks along the shoreline to his destination, so that the total time of swimming and walking is minimum?
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